Question

Elyse uses 42 gallons of water in a 10-minute shower. Write and solve a prediction problem that uses this information

Answer 1

Let

x-----> the time in minutes

y------> the number of gallons of water

we know that

the unit rates is equal to

`(y)/(x) = (42)/(10)=4.2(gal)/(min)`

the unit rate is equal to the slope of the linear equation

then

`y=4.2x`

Problem

1) How many gallons of water will Elyse use in three minutes in the shower?

For x=3 minutes

substitute in the equation above

`y=4.2x`

`y=4.2*3`

`y=12.6 gal`

the answer is

12.6 gal